广义Burgers方程的对称分类及其约化  

SYMMETRY CLASSIFICATIONS AND REDUCTIONS FOR GENERALIZED BURGERS EQUATION

作　　者：贾丽平[1] 郑丽霞[1] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《动力学与控制学报》2014年第2期111-114,共4页Journal of Dynamics and Control

摘　　要：利用李群方法对广义Burgers方程ut+f(x,t)(ux-uxx)=0的对称分类及其约化作具体讨论,其中f是关于自变量x,u的光滑函数,得到了f(x,t)的八种分类对称及相应的约化方程.该结果对于广义Burgers方程精确解的研究有重要意义.Symmetry classifications and reductions for generalized Burgers equation ut ＋f（x,t）（ux -uxx）=0 were discussed specifically by using Lie group method,where fis the smooth function of x,u .And we obtained eight categories classified symmetry and the corresponding reduced equation of f（x,t）.The results provide reference for the exact solutions of the generalized Burgers equation study.

关 键 词：李对称 无穷小生成元 广义BURGERS方程 李群方法 对称分类 

分 类 号：O175[理学—数学]